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Classicalization and unitarity

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Abstract

We point out that the scenario for UV completion by “classicalization”, proposed recently is in fact Wilsonian in the classical Wilsonian sense. It corresponds to the situation when a field theory has a nontrivial UV fixed point governed by a higher dimensional operator. Provided the kinetic term is a relevant operator around this point the theory will flow in the IR to the free scalar theory. Physically, “classicalization”, if it can be realized, would correspond to a situation when the fluctuations of the field operator in the UV are smaller than in the IR. As a result there exists a clear tension between the “classicalization” scenario and constraints imposed by unitarity on a quantum field theory, making the existence of classicalizing unitary theories questionable.

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Correspondence to Michael Lublinsky.

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Kovner, A., Lublinsky, M. Classicalization and unitarity. J. High Energ. Phys. 2012, 30 (2012). https://doi.org/10.1007/JHEP11(2012)030

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  • DOI: https://doi.org/10.1007/JHEP11(2012)030

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